7970500541952 has 1280 divisors, whose sum is σ = 28508195358720. Its totient is φ = 2173605249024.

The previous prime is 7970500541879. The next prime is 7970500541981. The reversal of 7970500541952 is 2591450050797.

It is a happy number.

7970500541952 is a `hidden beast` number, since 7 + 9 + 7 + 0 + 5 + 0 + 0 + 541 + 95 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4707914418 + ... + 4707916110.

It is an arithmetic number, because the mean of its divisors is an integer number (22272027624).

Almost surely, 2^{7970500541952} is an apocalyptic number.

7970500541952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7970500541952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14254097679360).

7970500541952 is an abundant number, since it is smaller than the sum of its proper divisors (20537694816768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7970500541952 is a wasteful number, since it uses less digits than its factorization.

7970500541952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 54.

The spelling of 7970500541952 in words is "seven trillion, nine hundred seventy billion, five hundred million, five hundred forty-one thousand, nine hundred fifty-two".